期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2014
卷号：10
期号：4
页码：435-454
DOI：10.1234/pjsor.v10i4.836
语种：English
出版社：College of Statistical and Actuarial Sciences
摘要：This paper provides a new generalization of the complementary Weibull geometric distribution that introduced by Tojeiro et al. (2014), using the quadratic rank transmutation map studied by Shaw and Buckley (2007). The new distribution is referred to as transmuted complementary Weibull geometric distribution (TCWGD). The TCWG distribution includes as special cases the complementary Weibull geometric distribution (CWGD), complementary exponential geometric distribution(CEGD),Weibull distribution (WD) and exponential distribution (ED). Various structural properties of the new distribution including moments, quantiles, moment generating function and RØnyi entropy of the subject distribution are derived. We proposed the method of maximum likelihood for estimating the model parameters and obtain the observed information matrix. A real data set are used to compare the exibility of the transmuted version versus the complementary Weibull geometric distribution.
关键词：Transmutation, complementary Weibull geometric, Reliability Function, Moment Generating Function, Renyi Entropy, Order Statistics, Maximum Likelihood Estimation
